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15, 20, and 25 are a Pythagorean triple, (225+40=625) thus they form a right triangle. The shortest altitude of any right triangle is going to be that of the hypotenuse. All three of the right triangles formed by the altitude on hypotenuse are similar. Thus 15:25 = a:10. a=6.
The picture in the attached figure
we know that
in the right triangle ABC
sin A=opposite side angle A/hypotenuse
in this problem
opposite side angle A=BC-----> 10
hypotenuse=AB-----> 26
so
sin A=10/36------> sin A=0.3846------> sin A=0.385
the answer is
the option <span>d. 0.385</span>
we know that
in the right triangle ABC
sin A=opposite side angle A/hypotenuse
in this problem
opposite side angle A=BC-----> 10
hypotenuse=AB-----> 26
so
sin A=10/36------> sin A=0.3846------> sin A=0.385
the answer is
the option <span>d. 0.385</span>